Frankie folded a piece of paper 12 inches by 9 inches into sections as shown below.
What fraction of the total area is in each section?
Paper of 12 inches by 9 inches is divided into 4 equal rectangles.
A.
1
2
B.
1
3
C.
1
4
D.
Cannot use a fraction because the paper was not divided into equal parts.
C. 1/4. Each of the four rectangles is equal in size, so each one represents 1/4 of the total area.
C. 1/4
To find out the fraction of the total area in each section, we need to determine the area of the individual sections and then compare it to the total area.
The paper is divided into four equal rectangles. Each rectangle will have dimensions of 12 inches by 9 inches. To find the area of one rectangle, we multiply the length by the width.
Area of one rectangle = Length × Width = 12 inches × 9 inches = 108 square inches
Since there are four equal rectangles, the total area of all the rectangles combined is:
Total area = Area of one rectangle × Number of rectangles = 108 square inches × 4 = 432 square inches
Now, to find the fraction of the total area in each section, we need to divide the area of one rectangle by the total area.
Fraction of total area per section = Area of one rectangle / Total area = 108 square inches / 432 square inches
Simplifying the fraction, we get:
Fraction of total area per section = 1/4
Therefore, the correct answer is C. 1/4